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A073230 Decimal expansion of (1/e)^e. 15
0, 6, 5, 9, 8, 8, 0, 3, 5, 8, 4, 5, 3, 1, 2, 5, 3, 7, 0, 7, 6, 7, 9, 0, 1, 8, 7, 5, 9, 6, 8, 4, 6, 4, 2, 4, 9, 3, 8, 5, 7, 7, 0, 4, 8, 2, 5, 2, 7, 9, 6, 4, 3, 6, 4, 0, 2, 4, 7, 3, 5, 4, 1, 5, 6, 6, 7, 3, 6, 3, 3, 0, 0, 3, 0, 7, 5, 6, 3, 0, 8, 1, 0, 4, 0, 8, 8, 2, 4, 2, 4, 5, 3, 3, 7, 1, 4, 6, 7, 7, 4, 5, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

(1/e)^e = e^(-e) = 1/(e^e) (reciprocal of A073226).

The power tower function f(x)=x^(x^(x^...)) is defined on the closed interval [e^(-e),e^(1/e)]. - Lekraj Beedassy, Mar 17 2005

REFERENCES

Paul Halmos, "Problems for Mathematicians, Young and Old", Dolciani Mathematical Expositions, 1991, Solution to problem 8A (Power Tower) p. 240.

LINKS

Table of n, a(n) for n=0..103.

J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164; see the Appendix.

EXAMPLE

0.06598803584531253707679018759...

MATHEMATICA

a=IntegerDigits[IntegerPart[(1/E)^E*10^99]]; PrependTo[a, 0] (* Vladimir Joseph Stephan Orlovsky, Jul 17 2008 *)

RealDigits[(1/E)^E, 10, 100][[1]] (* Alonso del Arte, Aug 26 2011 *)

PROG

(PARI) exp(-1)^exp(1)

CROSSREFS

Cf. A001113 (e), A068985 (1/e), A073229 (e^(1/e)), A072364 ((1/e)^(1/e)), A073226 (e^e).

Sequence in context: A165227 A242761 A200477 * A134881 A229983 A100884

Adjacent sequences:  A073227 A073228 A073229 * A073231 A073232 A073233

KEYWORD

cons,nonn

AUTHOR

Rick L. Shepherd, Jul 22 2002

STATUS

approved

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Last modified November 22 05:19 EST 2014. Contains 249804 sequences.